339125226882048 has 1408 divisors, whose sum is σ = 1070534492160000. Its totient is φ = 105907358269440.

The previous prime is 339125226882031. The next prime is 339125226882059. The reversal of 339125226882048 is 840288622521933.

339125226882048 is a `hidden beast` number, since 3 + 3 + 9 + 1 + 2 + 522 + 6 + 88 + 20 + 4 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 971705520978 + ... + 971705521326.

Almost surely, 2^{339125226882048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 339125226882048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535267246080000).

339125226882048 is an abundant number, since it is smaller than the sum of its proper divisors (731409265277952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

339125226882048 is a wasteful number, since it uses less digits than its factorization.

339125226882048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 339125226882048 in words is "three hundred thirty-nine trillion, one hundred twenty-five billion, two hundred twenty-six million, eight hundred eighty-two thousand, forty-eight".